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Finding the Fourth Proportional to 358.30, 494.44 and 200.95

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Solution

The fourth proportional to 358.30, 494.44 and 200.95 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.30 : 494.44 = 200.95 : x
  2. Step 2: Convert to fraction form
    358.30/494.44 = 200.95/x
  3. Step 3: Cross multiply
    358.30x = 494.44 × 200.95
  4. Step 4: Simplify right side
    358.30x = 99,357.72
  5. Step 5: Solve for x
    x = 99,357.72/358.30
  6. Step 6: Final answer
    x = 277.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.